Deriving a Vector Expression from Given Direction

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Discussion Overview

The discussion revolves around deriving a vector expression from a given direction defined by the relationship dx=2dy=-2dz. Participants are seeking assistance in finding a vector representation of this direction, particularly in the context of calculating the directional derivative of a scalar function.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant expresses uncertainty about how to derive a vector expression from the given directional ratios and seeks help.
  • Another participant suggests using derivatives, although the context of this suggestion is unclear.
  • A different participant acknowledges the need for partial derivatives but reiterates the challenge of finding the vector representation of the direction.
  • Additional requests for insights and assistance are made by participants who are eager to understand the process.

Areas of Agreement / Disagreement

Participants generally agree on the need to find a vector representation of the given direction, but no consensus exists on the method to achieve this or the specific steps involved.

Contextual Notes

Participants have not specified any assumptions or definitions that may be relevant to the problem, and the discussion lacks detailed mathematical steps or frameworks for deriving the vector expression.

Drain Brain
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How can you derive an expression from the given direction defined by dx=2dy=-2dz. This is just a part of a problem that I'am solving. I have no idea how to get a vector expression using the given info. please help. Thanks!

by the way I'm trying to find the directional derivative of a certain scalar function in the direction given above. By I don't know how to get a vector representayion of the given direction. Please help me!
 
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is that possible? use derivative.
 
What? I Know that I would use partial derivative here. But what I need help with is finding the vector representation of the given direction. Please anybody knows how to do it tell me. Thanks.!
 
Hey guys, do you have any idea on how to do this? I want to know it so badly. Please give me an insight.
 

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